SOLUTION: Sandy has 3.25 in change. She has five more dimes than quarters but twice as many nickels as dimes. Eecpress th given information as an algebraic exprssion and simplify.

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let n,d,and q represent the number of nickels,dimes,and quarters,respectively
:
d=5q..................eq 1
n=2d..................eq 2
.05n+.1d+.25q=3.25....eq 3
:
re write eq 1 to q=d/5 and take that value and the value of n in eq 2 and plug them into eq 3
:
.05(2d)+.1d+.25(d/5)=3.25
:
.1d+.1d+.25(d/5)=3.25
:
.2d+.25(d/5)=3.25
:
d+.25d=16.25...multiplied all terms by 5 to get rid of fractional terms
:
1.25d=16.25
:
d=13
:
so now you can find out the values of n and q.